Least Common Multiple of 820/44, 620/63, 376/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 820/44, 620/63, 376/993 quickly i.e. 2389480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 820/44, 620/63, 376/993 is 2389480.

LCM(820/44, 620/63, 376/993) = 2389480

LCM of 820/44, 620/63, 376/993

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 820/44,620/63,376/993

Given numbers are 820/44,620/63,376/993

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 820,620,376

Least Common Multiple of Numerators i.e. LCM of 820,620,376 is 2389480.

GCF of Denominators means GCF of 44,63,993 as per the given fractions.

GCF of 44,63,993 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 820,620,376

LCM of Fractions 820/44,620/63,376/993 is 2389480

2 820, 620, 376
2 410, 310, 188
5 205, 155, 94
41, 31, 94

∴ So the LCM of the given numbers is 2 x 2 x 5 x 41 x 31 x 94 = 2389480

Least Common Multiple of 820,620,376 with GCF Formula

Least Common Multiple of 820,620,376 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 820,620,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,620,376) = 4

common factors(in case of two or more numbers have common factors) = 20

GCF(820,620,376) x common factors =4 x 20 = 80

LCM(820,620,376) = ( 820 × 620 × 376 ) / 80

LCM(820,620,376) = 191158400 / 80

LCM(820,620,376) = 2389480


Lets's calculate GCF of 44,63,993

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2389480/1

Therefore the LCM of Fractions 820/44,620/63,376/993 is 2389480

Greatest Common Factor of 44,63,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,63,993 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 44,63,993 . The biggest common factor number is the GCF number.
So the greatest common factor 44,63,993 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 820/44, 620/63, 376/993

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 820/44, 620/63, 376/993?

Answer: LCM of Numerators as per given numbers 820/44, 620/63, 376/993 is

LCM of Numerators i.e. for 820,620,376 is 2389480

GCF of denominators i.e. for 44,63,993 is 1.

Thus, LCM of Fractions is 2389480.Finally, LCM of Fractions for 820/44, 620/63, 376/993 is 2389480.